Respiratory Therapy Equations

Alveolar Oxygen Content

PAO2= FIO2 (Pb-47) - (PaCO2/0.8)

%Body Humidity

(Absolute Humidity/43.8) x100

%Relative Humidity

(AH/Saturated Capacity) x100

Oxygen Consumption

VO2= QT [C (a-v) O2] x 10

Oxygen Extraction Ratio

O2ER= CaO2-CvO2/ CaO2

Hb Saturation

SaO2= [Hbo2/Total Hb] x100

A-a Oxygen Tension Gradient

P (A-a) O2= PAO2-PaO2

Oxygen Content of Arterial Blood

CaO2= (Hbx 1.34x SaO2) + (PaO2 x 0.003)

Oxygen Content of Mixed Venous Blood

CvO2= (Hb x 1.34 x SvO2) + (PvO2 x 0.003)

Oxygen Content of Pulmonary Capillary Blood

CcO2= (Hb x 1.34X SaO2) + (PaO2 x 0.003)

Total Oxygen Delivery

DO2= QT (CaO2 x 10)

Pulmonary Shunt Fraction

Qs/Qt= CcO2-CaO2/CcO2- CvO2

Arterial- Venous Oxygen Content Difference

C(a-v) O2 = CaO2- CvO2

Farenheight to Celsius

F-32= 1.8 (C)

Kelvin

K= C+273

Boyle's Law

P1 x V1= P2 x V2

Charles' Law

V1/T1= V2/T2

Guy-Lussac's

P1/T1= P2/T2

Combined Gas Law

(P1x V1)/ T1= (P2 x V2)/ T2

Minute Ventilation

Vt (tidal volume) x RR (respiratory rate)

Ideal Body Weight

Male: 106 +6 (Height in inches -60)
Female: 105 +5 (Height in inches - 60)

Duration of Flow (min)

Duration of Flow (min)= Pressure (psig) x cylinder factor/ Flow (L/min)

Amount of Gas in Cylinder

Liquid O2= weight(lb) x 860/ 2.5 lb/L

Duration of Gas (min)

Amount of Gas in Cylinder(L)/ Flow (L/min)

%O2

(Air Flow x 21) + (O2 Flow x 100)/ Total Flow

Cylinder Factor (L/psig)

Cubic Feet (full cylinder) x 28.3/ Pressure(full cylinder) in psig

Shunt Equation w. or w/o CPAP

Qs/Qt= CcO2-CaO2/5+CcO2- CvO2

Shunt Equation w. or w/o PEEP

Qs/Qt= CcO2-CaO2/3.5+CcO2- CvO2

Shunt Equation : Modified

Qs/Qt= (PAO2- PaO2) x 0.003/(CaO2- CvO2)+ (PAO2-PaO2) x 0.003

Anion Gap

Agap =Na+ -(Cl- +HCO3-)

Arterial/Alveolar Oxygen Tension (a/A) Ratio

a/A = PaO2 /PAO2

Arterial-Mixed Venous Oxygen Content Difference

[C (a - v) O2]

amount of O2 dissolved in 100mL

PaO2 x 0.003